For satellites, mean difference (in log scale) between the TNG300 values and the predicted ones using only Eq. (2) and the semi-sorted scatter for a subsample of galaxies on a fixed [V_peak, V_peak/V_vir] interval for different M_halo values (colour coding) (right). Left: The same, but plotted as a function of a_Mpeak (in scale factor units) maintaining the M_halo intervals. The black thick line shows the behaviour when the whole sample is considered. The circle represents the mean value for central galaxies with a_Mpeak ∼ 1.